116/80 as a Decimal and Mixed Number

116/80 as a decimal and mixed number expansion provides the detailed information about what is 116/80 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

116/80 as a Decimal
116/80 = 1.45
Hence,
116/80 as a decimal equals to 1.45
where,
116/80 is a given fraction,
The decimal expansion of 116/80 is 1.45

116/80 as a Mixed Number
116/80 = (80 + 36)/80
= 80/80 + 36/80
= 1 + 36/80
= 1 36/80
116/80 = 1 36/80

Hence,
116/80 as a mixed number is 1 ³⁶/₈₀
where,
116/80 is a given fraction,
1 ³⁶/₈₀ is the mixed number representation of 116/80.

The below work with steps provide the detailed information about how to convert fraction 116/80 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 116/80

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 116/80.

step 2 The numerator is greater than the denominator of the fraction 116/80, so write the given fraction in the expression form in terms of denominator as like the below:
= 116/80
= 80 + 36/80

step 3 Make the above expression as individual fractions:
= 80/80 + 36/80

step 4 Simplify the above expression:
= 1 x 80/80 + 36/80
= 1 + 36/80
= 1 + 9 x 4/20 x 4
= 1 + 9/20
1 + 9/20 can be written as a mixed number 1 ⁹/₂₀.


step 5 Find the decimal equivalent for the fractional part 9/20 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 1 + (9/20 x 5/5)
= 1 + 45/100

step 6 Simplify the above expression further:
= 1 + 0.45
= 1.45
116/80 = 1.45

Hence,
116/80 as a decimal is 1.45
116/80 as a mixed number is 1 ⁹/₂₀